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Eurasian Mathematical Journal, 2014, Volume 5, Number 3, Pages 125–128
(Mi emj169)
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Short communications
The predual space of a $\mathrm{JBW}^*$-triple
A. A. Rakhimov The Tashkent Automobile and Road Construction Institute,
20 Amir Temur St., Tashkent, Uzbekistan
Abstract:
In the paper $\mathrm{JB}^*$-triples which are dual Banach spaces are considered as analogues of $\mathrm{JBW}^*$-algebras. For $\mathrm{JBW}^*$-triples an analogue of the classical theorem of Vitali–Hahn–Saks on convergent sequences of measures and a theorem on weak compactness of a set of normal functionals are proved.
Keywords and phrases:
von Neumann algebra, $\mathrm{JBW}^*$-triple, normal functionals.
Received: 17.01.2013
Citation:
A. A. Rakhimov, “The predual space of a $\mathrm{JBW}^*$-triple”, Eurasian Math. J., 5:3 (2014), 125–128
Linking options:
https://www.mathnet.ru/eng/emj169 https://www.mathnet.ru/eng/emj/v5/i3/p125
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Abstract page: | 217 | Full-text PDF : | 87 | References: | 37 |
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